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3 years ago

10. Raquel earned $105 for baking

Mathematics

1 answer:

sveta [45]3 years ago

8 0

Answer:

Step-by-step explanation:

(7,105) , (4,60)

slope = (y2 - y1) / (x2 - x1)

slope = (60 - 105) / (4 - 7) = -45/-3 = 15

y = mx + b

slope(m) = 15

(4,60)...x = 4 and y = 60

now we sub and find b, the y int

60 = 15(4) + b

60 = 60 + b

60 - 60 = b

0 = b

so ur equation is : y = 15x <===

how many pies must be made to make 165... so we sub 165 in for y in the equation and solve for x, the number of pies needed

y = 15x

165 = 15x

165/15 = x

11 = x <=== she would have to sell 11 pies

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Find an equation (in term of x) of line through the points (-1,3) and (1,4)

Serjik [45]

ANSWER

The equation is
$2y - x = 7$

EXPLANATION

The equation of the line that passes through the point (-1,3) and (1,4) can be found using the formula,

$y-y_1=m(x-x_1)$

where

$m = \frac{4 - 3}{1 - - 1}$

$m = \frac{1}{2}$
is the slope and

$(x_1,y_1)$
is a point on the line.

The equation of the line becomes,

$y - 4 = \frac{1}{2} (x - 1)$

Multiply through by 2 to get,.

$2y - 8 = x - 1$

Or

$2y - x = 7$

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3 years ago

Vinil7 [7]

Answer:

A) .9423

Step-by-step explanation:

The chance of getting at most 13 heads is 0.9423

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3 years ago

determine weather y varies directly with x. if so, find the constant variation and write the equation

REY [17]

Answer:

Yes, k = 1/3 and y = 1/3x

Step-by-step explanation:

$\text{The given line passes through the origin, hence it has equation of the form:}\\y=kx$

$\text{Therefore y varies directly as x.}The line passes through the point (3,1)}$

$\text{This implies that,}$

$1=k(3)\\k=\frac{1}{3}$ $\text{Hence the constant of variation is}$ ⇒ $\frac{1}{3}$

The equation would be ⇒ $y=\frac{1}{3} x$

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2 years ago

A 36-foot-tall tree casts a 9-foot shadow. How tall is a nearby tree that casts a 14-foot shadow at the same time?

kiruha [24]

Answer:

Proportion states that the two fractions or ratios are equal.

Given the statement: A 36-foot-tall tree casts a 9-foot shadow.

To find the height of the nearby tree that cast a 14 foot shadow at the same time.

Let x be the height of the nearby tree.

By definition of proportion;

$\frac{\text{Height of thetall tree}}{\text{Shadow of the tall tree}} =\frac{\text{Height of the nearby tree}}{\text{Shadow of the nearby tree}}$

Substitute the given values we get;

$\frac{36}{9}=\frac{x}{14}$

Simplify:

$4 = \frac{x}{14}$

Multiply both sides by 14 we get;

$x= 4 \times 14 = 56$ foot.

therefore, the height of the nearby tree is, 56 foot.

7 0

3 years ago

A 2/3=8/2. B. 4/9=8/9 c 3/4>9/10 d 2/4>2/3 which comparison is true

vladimir2022 [97]

The given comparisons are not true in all of the options provided.

<u>Step-by-step explanation:</u>

The given comparisons are in the form of fractions.

Check each of the given options one by one based on the relation given for the comparison.

Option a) is 2/3 = 8/2. Here, you have to check that the given fractions are equal or not. If both the values are equal, then the comparison is true. If they are not equal, then the comparison is false.

By dividing 2 by 3, we get a value of 0.666

By dividing 8 by 2, we get a value of 4.

Therefore, 0.666 ≠ 4. The comparison is false.

Option b) is 4/9 = 8/9. Here, you have to check that the given fractions are equal or not.

Look into the given comparison, the fractions have same denominator of 9.

In such cases, if the denominator is same and the numerator value is different, then they are not equal.

Therefore, 4/9 ≠ 8/9. The comparison is false.

Option c) is 3/4 > 9/10. Here, you have to check whether 3/4 is greater than 9/10.

By dividing 3 by 4, we get a value of 0.75

By dividing 9 by 10, we get a value of 0.9

Therefore, 0.75 is not greater than 0.9. The comparison is false.

Option d) is 2/4 > 2/3. Here, you have to check whether 2/4 is greater than 2/3.

By dividing 2 by 4, we get a value of 0.5

By dividing 2 by 3, we get a value of 0.666

Therefore, 0.5 is not greater than 0.666. The comparison is false.

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3 years ago